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3412045032 = 2331123561931
BaseRepresentation
bin1100101101011111…
…1010110011101000
322210210100211212020
43023113322303220
523441440420112
61322323544440
7150360622104
oct31327726350
98723324766
103412045032
1114a1012a30
127b282b120
13424b82476
14245224904
1514e83648c
hexcb5face8

3412045032 has 64 divisors (see below), whose sum is σ = 9710184960. Its totient is φ = 988996800.

The previous prime is 3412045031. The next prime is 3412045069. The reversal of 3412045032 is 2305402143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3412044993 and 3412045011.

It is not an unprimeable number, because it can be changed into a prime (3412045031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274894 + ... + 287037.

It is an arithmetic number, because the mean of its divisors is an integer number (151721640).

Almost surely, 23412045032 is an apocalyptic number.

It is an amenable number.

3412045032 is an abundant number, since it is smaller than the sum of its proper divisors (6298139928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3412045032 is a wasteful number, since it uses less digits than its factorization.

3412045032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561974 (or 561970 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3412045032 is about 58412.7129313474. The cubic root of 3412045032 is about 1505.4681945647.

Adding to 3412045032 its reverse (2305402143), we get a palindrome (5717447175).

The spelling of 3412045032 in words is "three billion, four hundred twelve million, forty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 561931 1123862 1685793 2247724 3371586 4495448 6181241 6743172 12362482 12924413 13486344 18543723 24724964 25848826 37087446 38773239 49449928 51697652 74174892 77546478 103395304 142168543 148349784 155092956 284337086 310185912 426505629 568674172 853011258 1137348344 1706022516 3412045032